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Finding a manageable approximation to the behaviour of the coagulation fragmentation equations is challenging.
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Though the size limitation for computational matrix analysis may never be completely removed, we showed that there are ways to circumvent it: even without access to specialized hardware, big, dense transition matrices may be manageable either by lumping states, or by approximating rare transitions to zero with our sparse approximation algorithm.
Thus, as is the case with the integro-differential operator method of Eq. (1), we can have a glimpse of objective function of in Eq. (6) by using an idealized pupil profile approximation such as in Eq. (9). Figure 2 shows this artificial minimization valley a manageable gaussian-like profile with a clear minimum for a range of values of kδ.
In order to reduce computational time, some approximations and simplifications have been applied to make analytical equations and calculations simpler and manageable.
(Their approximation: "mischievous mating").
(That is an approximation).
It's manageable".
"It is manageable".
"These are manageable newspapers.
It felt manageable.
But it is manageable.
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